I'm looking at https://www.postgresql.org/docs/current/sql-analyze.html, where it says “Without a table_and_columns list, ANALYZE processes every table and materialized view in the current database that the current user has permission to analyze.”.
I don’t believe there is a separate “analyze” permission, so which tables is this? Tables owned by the user? Ones where it can insert/update/delete? Ones where it can select?
If somebody can tell me, I'll make it a weekend project to propose a specific update to the documentation to make this more clear. Or maybe there should just be a cross-reference to another existing part of the documentation that explains more about this.